Page 313 - Math_Genius_V1.0_C6_Flipbook
P. 313

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\17_Answers\Answers
                 \ 07-Nov-2024  Bharat Arora   Proof-8                                        Reader’s Sign _______________________ Date __________





                  14.  (a)  Yes, for example 30° + 15° = 45° (an acute angle)
                     (b)  Yes, for example 45° + 45° = 90° (a right angle)       1st/2nd
                     (c)  Yes, for example 50° + 50° = 100° (an obtuse angle)  6.   3rd               4th           5th  6th  7th
                     (d)   No, 90° + 90° = 180°, if one angle is less than 90° (acute angle), then the   0
                       other must be greater than 90° (obtuse angle) to get the sum 180°.  23  34  50  100  106  150  163  174  176
                     (e)   No, sum of two acute angles is always less than 180°.  Quick Check
                  15.  (a)  Yes, for example, 120° + 120° = 240° (a reflex angle)  1.
                     (b)   No, 180° + 180° = 360°, if one angle is less than 180° (an obtuse
                       angle) then the other one must be greater than 180° to get the sum   15,077  15,078  15,079  15,080  15,081  15,082  15,083  15,084  15,085  15,086
                       360°.
                Practice Time 2G
                  3.  (a)  A, V, W, Z   (b)  K, Y   (c)  I                   83,705  84,705  85,705  86,705  87,705  88,705  89,705  90,705  91,705  92,705
                Mental Maths
                  1.  No         2.  10; AB , BC , CD , DE , AC , AD, AE, BD, BE, CE
                  3.  False      4.  Never   5.  A       6.  45°                  5050  5180    5410         5754  5890  5950
                  7.  Infinitely many   8.  Right angle                 2.  (a)
                Chapter Assessment                                              5000  5030  5100  5200  5300  5400  5500  5600  5700  5800  5900  6000
                A.  1.  (a)    2.  (b)   3.  (d)   4.  (c)   5.  (a)
                  6.  (d)    7.  (d)   8.  (b)   9.  (b)   10. (b)
                B.  1.  (d)    2.  (a)   3.  (d)                                        12,180  12,240  12,310  12,590  12,650
                C.  1.  One   2.  definite  3.  parallel  4.  acute   5.  two  (b)
                  6.  reflex   7.  90°
                D.  1.  True   2.  False   3.  False   4.  False   5.  True      12,000  12,050  12,100  12,200  12,300  12,400  12,500  12,600  12,700  12,800  12,900
                  6.  False
                E.  1.  (b)    2.  (a)   3.  (c)   4.  (a), (c)  5.  (b)  Quick Check
                F.  1.  5    2.  65°, 32.5°      3.  6                     Area of Meghalaya (22, 429 sq km) > Area of Manipur (22, 327 sq. km)
                  7.  (a)  ∠AEB, ∠DEC, ∠BAE, ∠EDC  (b)  ∠AED, ∠BEC    Think and Answer
                           A             D
                                                                        1.  4352 4452 3500 3683 3452 3600 6300 6071 1200 1251
                                E
                     (c)                  (Answer may vary)
                                                                        2.  Yes, the cell having the largest number in a table always be a super
                                                                           cell and the cell having the smallest number in a table will never be a
                       B             C                                     supercell, since its adjacent number is bigger.
                  8.  (a)  6   (b)  15°   (c)  24   (d)  7
                                                                      Maths Connect
                                     Unit Test – 1                      1.  The largest planet is Jupiter whose diameter is 88,846 miles and the
                A.  1.  (d)    2.  (c)   3.  (b)   4.  (c)   5.  (c)       smallest planet is Mercury whose diameter is 3,032 miles.
                  6.  (a)    7.  (d)   8.  (c)   9.  (c)   10. (a)      2.  Mercury  – 3032  miles;  Mars  – 4221  miles;  Venus  – 7521  miles;
                B.  1.  343   2.  90°   3.  two   4.  Pentagonal           Earth  – 7926 miles; Neptune  – 30775 miles;  Uranus  – 31763 miles;
                  5.  Virahanka                                            Saturn – 74898 miles; Jupiter – 88846 miles
                C.  1.  T    2.  F   3.  T   4.  F   5.  F                            Supercells
                D.  1.  ∠A = 144°, ∠B = 36°   2.  (a) 27, 45  (b) 36, 27
                  3.  3 right angles                                  3.  3032 7521 7926 4221 88846 74898 31763 30775
                  4.  (a)            (b)
                                                                                       Subcells

                                             115°                     Practice Time 3A
                         85°                                            1.  200    577    626   345    694   109    198
                  5.  1 + 3 + 5 + 7 + 9 = 25 = 5 × 5
                     1+ 3 + 5 + 7 + 9 + 11 = 36 = 6 × 6                 2.  6828  670  9435  3780  3708  7308  8000  5583  52
                            B                                           3.   43    76     67     28    69    109    18
                                                                        4.  11  12   13   14  15   16  17   18   19  20
                  6.       1                 7.  50 ; 65
                                                                           Here, only 1 supercell (Blue) and 1 subcell (Red) is possible.
                        2 A                                                (Answer may vary)
                  8.  (a)  ∠PQR  (b)  ∠MQR and ∠PQN  (c)  ∠NQM          5.    40,007     77,400      70,400     40,700
                                Chapter 3: Number Play                        47,700     40,070      47,000     74,000
                Let’s Recall                                                  74,400     74,004      70,740     70,004
                  1.  Expanded form of 27859 = 20000 + 7000 + 800 + 50 + 9    47,070     47,770      70,744     40,777
                  2.  Five numbers that can be estimated to 5,30,000 is 5,30,003; 5,29,999;
                     5,30,456; 5,29,896; 5,29,870 (Answer may vary)     6.  12  11   13   14  15   16  17   18   19  20
                  3.  93 runs
                  4.  Total number of balls in 20 overs in an inning = 120.     Second smallest number  Second largest number
                  5.  Yes, the number reads the same forward and backward. 3 other such   (a supercell)  (not a subcell)
                     numbers are 11, 121, 99.                           7.  No

                                                                  311                                            Answers
   308   309   310   311   312   313   314   315   316   317   318